Search a number
-
+
32233353048 = 233213377113109
BaseRepresentation
bin11110000001010000…
…011110111101011000
310002012101201222210200
4132001100132331120
51012003214244143
622450252342200
72220525660141
oct360120367530
9102171658720
1032233353048
1112740984256
1262b6a74960
133068ca3990
1417bacc8ac8
15c89c331d3
hex78141ef58

32233353048 has 192 divisors, whose sum is σ = 97922260800. Its totient is φ = 9513262080.

The previous prime is 32233353041. The next prime is 32233353077. The reversal of 32233353048 is 84035333223.

32233353048 is a `hidden beast` number, since 32 + 23 + 33 + 530 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32233353041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452318 + ... + 2465426.

It is an arithmetic number, because the mean of its divisors is an integer number (510011775).

Almost surely, 232233353048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32233353048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48961130400).

32233353048 is an abundant number, since it is smaller than the sum of its proper divisors (65688907752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32233353048 is a wasteful number, since it uses less digits than its factorization.

32233353048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 32233353048 in words is "thirty-two billion, two hundred thirty-three million, three hundred fifty-three thousand, forty-eight".